468 results about "Trigonal crystal system" patented technology

Methods for reconfiguring an atrioventricular heart valve that may use systems comprising a partial or complete annuloplasty rings proportioned to reconfigure a heart valve that has become in some way incompetent, a pair of trigonal sutures or implantable anchors, and a plurality of staples which may have pairs of legs that are sized and shaped for association with the ring at spaced locations along its length. These systems permit relative axial movement between the staples and the ring, whereby a patient's heart valve can be reconfigured in a manner that does not deter subtle shifting of the native valve components. Shape-memory alloy material staples may have legs with free ends that interlock following implantation. Annuloplasty rings may be complete or partial and may be fenestrated. One alternative method routes a flexible wire, preferably of shape-memory material, through the bights of pre-implanted staples. Other alternative systems use linkers of shape-memory material having hooked ends to interengage with staples or other implanted supports which, following implantation, decrease in effective length and pull the staples or other supports toward one another so as to create desired curvature of the reconfigured valve. These linkers may be separate from the supports or may be integral with them and may have a variety of shapes and forms. Various of these systems may be implanted non-invasively using a delivery catheter.

A Flogrid Simulation Gridding Program includes a Flogrid structured gridder. The structured gridder includes a structured areal gridder and a block gridder. The structured areal gridder will build an areal grid on an uppermost horizon of an earth formation by performing the following steps: (1) building a boundary enclosing one or more fault intersection lines on the horizon, and building a triangulation that absorbs the boundary and the faults; (2) building a vector field on the triangulation; (3) building a web of control lines and additional lines inside the boundary which have a direction that corresponds to the direction of the vector field on the triangulation, thereby producing an areal grid; and (4) post-processing the areal grid so that the control lines and additional lines are equi-spaced or smoothly distributed. The block gridder of the structured gridder will drop coordinate lines down from the nodes of the areal grid to complete the construction of a three dimensional structured grid. A reservoir simulator will receive the structured grid and generate a set of simulation results which are displayed on a 3D Viewer for observation by a workstation operator.

Several inventions are disclosed. A cell architecture using hexagonal shaped cells is disclosed. The architecture is not limited to hexagonal shaped cells. Cells may be defined by clusters of two or more hexagons, by triangles, by parallelograms, and by other polygons enabling a variety of cell shapes to be accommodated. Polydirectional non-orthogonal three layer metal routing is disclosed. The architecture may be combined with the tri-directional routing for a particularly advantageous design. In the tri-directional routing arraingement, electrical conductors for interconnecting terminals of microelectronic cells of an integrated circuit preferrably extend in three directions that are angularly displaced from each other by 60°. The conductors that extend in the three directions are preferrably formed in three different layers. A method of minimizing wire length in a semiconductor device is disclosed. A method of minimizing intermetal capacitance in a semiconductor device is disclosed. A novel device called a "tri-ister" is disclosed. Triangular devices are disclosed, including triangular NAND gates, triangular AND gates, and triangular OR gates. A triangular op amp and triode are disclosed. A triangular sense amplifier is disclosed. A DRAM memory array and an SRAM memory array, based upon triangular or parallelogram shaped cells, are disclosed, including a method of interconnecting such arrays. A programmable variable drive transistor is disclosed. CAD algorithms and methods are disclosed for designing and making semiconductor devices, which are particularly applicable to the disclosed architecture and tri-directional three metal layer routing.

Embodiments automatically generate an accurate network of watertight NURBS patches from polygonal models of objects while automatically detecting and preserving character lines thereon. These embodiments generate from an initial triangulation of the surface, a hierarchy of progressively coarser triangulations of the surface by performing a sequence of edge contractions using a greedy algorithm that selects edge contractions by their numerical properties. Operations are also performed to connect the triangulations in the hierarchy using homeomorphisms that preserve the topology of the initial triangulation in the coarsest triangulation. A desired quadrangulation of the surface can then be generated by homeomorphically mapping edges of a coarsest triangulation in the hierarchy back to the initial triangulation. This quadrangulation is topologically consistent with the initial triangulation and is defined by a plurality of quadrangular patches. These quadrangular patches are linked together by a (U, V) mesh that is guaranteed to be continuous at patch boundaries. A grid is then preferably fit to each of the quadrangles in the resulting quadrangulation by decomposing each of the quadrangles into k2 smaller quadrangles. A watertight NURBS model may be generated from the resulting quadrangulation.

A device for measuring the mass center of an object consists of weighing sensors, a measuring table, a tribrach, supporting legs and a computer. Three height adjustable supporting legs are arranged below three feet of the tribrach, three weighting sensors are arranged on the three feet, the three weighting sensors are accurately positioned, and the position points are respectively A, B and C which take an equiangular triangle distribution; the measuring table is arranged on the three weighting sensors, and needs leveling during measurement, the table is marked with marking scales, and rectangular coordinates are established; and three protective supporting studs are also arranged between the tribrach and the measuring table. The three points of A, B and C bear different forces when an object to be measured is put on a horizontal table, the 2D coordinates of the mass center of the measured object are obtained by moment balance calculation, and the 3D coordinate of the mass center can be obtained only by measuring the 2D coordinates of the mass center after the measured object is turned by 90 degrees. The mass center can be obtained quickly and reliably by adopting the computer to acquire and process data.

A three-dimensional shape measuring apparatus includes a line laser light source (1) and an image capturing device (2). A three-dimensional shape measuring method and apparatus is characterized by irradiating a line laser beam to an object (3) to be measured from a laser projecting device, imaging points (6) irradiated with the laser beam by the image capturing device (2, detecting points on taken images as intersections (8), each of the points being detected from the taken images and being detected as a common point where line laser beams pass, deriving equations including the positions of the laser planes and the three-dimensional positions of the intersections as unknowns based on the detected intersections, determining the three-dimensional positions of the intersections and the positions of the laser planes by solving the derived equations as simultaneous equations, calculating by triangulation the three-dimensional positions of the points irradiated with the laser beams other than the intersections by using the positions of laser planes, and obtaining the three-dimensional shape of the object by repeating the series of processes.

The invention is directed to a computer-implemented process, in a computer-aided geometric design system, for computing a resulting closed triangulated polyhedral surface from a first and a second modeled objects. The first modeled object is modeled by a first closed triangulated polyhedral surface and the second modeled object is modeled by a second closed triangulated polyhedral surface. The process according to the invention comprises:computing intersections between triangles of the first modeled object and triangles of the second modeled object;splitting triangles of the first and second modeled objects into polygonal facets adjacent to said intersections;computing for each triangle and each polygonal facet two couples of winding numbers p and q, wherein the first winding number of each couple of winding numbers is computed from the first closed triangulated polyhedral surface and the second winding number of each couple of winding numbers is computed from the second closed triangulated polyhedral surface;computing a coefficient k for each triangle and each polygonal facet, the coefficient being computed with a function φ having as inputs the two couples of winding numbers p and q of each triangle and each polygonal facet;selecting triangles and polygonal facets according to the computed coefficients;triangulating said selected polygonal facets; andobtaining the resulting closed triangulated polyhedral surface with the selected triangles and the triangulated selected polygonal facets.

Apparatus for obtaining 3-Dimensional data of a geometric body for matching, and particularly for use in facial matching, comprises a three dimensional scanner for obtaining three-dimensional topographical data of the body, a triangulator for receiving or forming said data into a triangulated manifold, a geodesic converter, for converting the triangulated manifold into a series of geodesic distances between pairs of points of the manifold, and a multi-dimensional scaler, for forming a low dimensional Euclidean representation of the series of geodesic distances, to give a bending invariant representation of the geometric body. In one variant, matching is carried out by taking the principle eigenvalues from the representation and plotting as co-ordinates in a feature space. Tilted or different expression versions of the same face tend to form clusters in the feature space allowing for matching. The apparatus preferably uses the fast marching method for the triangulated domain to obtain the geodesic distances.

Described is a set of at least two annuloplasty devices having a particular size that corresponds to an inter-trigonal or inter-commissural distance of a heart valve annulus, wherein the at least two annuloplasty devices have different anterior-posterior ratios. Also, described is a kit for annuloplasty repair of a heart valve annulus including a plurality of annuloplasty devices each comprising one of a plurality of different sizes, wherein the different sizes each correspond to a different inter-trigonal or inter-commissural distance of a heart valve annulus, and for each of the plurality of different sizes there are at least two devices each having the same size but having different anterior-posterior ratios. Additionally, a method of choosing an annuloplasty device for implantation in a valve annulus is described.

The invention provides a partition machining method of a triangular mesh model, and belongs to the technical field of CAM. The partition machining method of the triangular mesh model is characterized in that the partition machining method includes the steps that neighborhood points within an R radius range are selected so as to calculate differential geometry information of a triangular patch model accurately; the triangular patch model is segmented into sub-regions with different characteristics with characteristic statements of sub-regions to be machined as growth principles, optimization merging is conducted on small-area regions and wrongly judged regions so as to eliminate over-segmentation phenomena, and boundary smoothing is conducted on the sub-regions so as to reduce saw-toothed boundaries; different track strategies are adopted in different types of the sub-regions to be machined, when a constant scallop height track is generated, the circular cutting initial track generation method is adopted in the convex sub-regions and the concave sub-regions, the linear cutting initial track generation method is adopted in the saddle-shaped sub-regions, machining is conducted on tracks at the positions of sub-region boundaries when bias extension is conducted on cutter track projection, and reasonable and complete sub-region machining tracks are obtained. According to the partition machining method, numerical control machining cutter tracks giving consideration to the machining efficiency and the machining quality are effectively generated from the complicated triangular patch model.

The invention discloses a reconstruction method of a triangular mesh model, belonging to the field of computer graphics; the method comprises the following steps: an input model is parameterized to acubic surface, and a cube is drawn by utilizing a cubic parametric coordinate and topology connection relationship of the model; for a triangle which spans two or three surfaces of the cube, intersection point of the side of the triangle and the edge of the cube and attribute value of a top point contained by the triangle are extracted, and a standard cube is generated according to the attribute value of an extracted point and the topology connection relationship of the model; the parametric coordinate of the standard cube is utilized as a spatial coordinate, a geometric image and a differencegeometric image of the model are constructed; a re-sampling model is restrained by the difference geometric image to reconstruct the model. The reconstruction method can well keep the model detail before sampling, and a regular geometric model is generated, so as to be beneficial to acceleration drawing of the model; when variant interpolation of the model is carried out, the generated intermediate model also can keep smooth geometric detail.

The invention relates to a nonlinear optical crystal of a potassium borate chloride compound and a preparation method as well as application thereof. The chemical formula of the compound is K3B6O10Cl, and the molecular weight of the compound is 377.61. The crystal does not have a symmetric center and belongs to a trigonal system and a space group R3m, and cell parameters are as follows: a=10.0624(14), b=10.0624(14), c=8.8361(18), Z=3, and V=774.8 (2). The powder frequency-doubled effect reaches about 3 times of KDP(KH2PO4), the Mohs hardness is 4-5, and the light transmission waveband is 165nm-3460nm. A solid phase reaction method is used for synthesizing the compound, and a cosolvent method is used for growing the crystal. The crystal has the advantages of simple operation, low cost, large size, short growth cycle, few inclusion enclaves and larger mechanical hardness, and can be cut, polished, processed and saved easily. The crystal is used for generating twofold frequency or three-fold frequency or fourfold frequency or fivefold frequency harmonic light output for laser beams of which the wavelength is 1064nm.

A method for filling the space between two neighboring polyline ribs is disclosed. The method, called ladder triangulation, likens two ribs, which generally outline a complex structure, to the two rails of a ladder. The ladder triangulation is built by adding rungs, each rung connecting a node on one rib to a node on the other rib and thereby (after the first rung) creating one more triangle. In essence the first rung connects node 1 of polyline 1 to node 1 of polyline 2, and the second rung connects either node 1 polyline 1 to node 2 polyline 2 or else node 1 polyline 2 to node 2 polyline 1, whichever rung is shorter. There are (n1+n2) / 2 such rungs where n1 and n2 are the respective node counts of the two polylines, and computation is linear with node count. Where there are multiple polylines, the same process is repeated between polylines 2 and 3, 3 and 4, etc. and may also be repeated between the last polyline and the first one (cyclic rib fill). The entire set of ribs is filled in time proportional to the total node count. Moreover, if a single rib is subsequently modified by an editing process, a triangulation can be updated rapidly by recomputation of just the two ladder triangulations involving that rib.

This invention discloses a three-dimension image forming method by use of compound code multi-resolution, that is the three-dimension digit technique based on the combination of lattice project and strip project. The method adopts the image-forming device composed of digit project shining emitter, image sensor receiver and image processor. It is first to use lattice project three-dimension digit image-forming without phase fussy characteristics and to get the three-dimension depth image of low resolution rate with lattice code and to project the strip onto the object surface; to use the characteristics of high accuracy of space phase modulation; to de the phase extension by combination with acquired object low resolution rate and to further get the accurate three-dimension image with multi-resolution of the object to be measured.

The present invention discloses a preparation method of monodisperse trigonal nano silver sheet. Said method includes the following steps: (1), preparing three-component solution system formed from water, PVP and n-pentanol; (2), adding 0.1-0.6% of alcohol solution of AgNO3 into the above-mentioned system under the condition of continuous stirring, then placing the above-mentioned material into a constant temperature oven to make heat treatment at 60-100deg.C; and (3), centrifugalizing the above-mentioned reaction solution so as to obtain the invented high-purity trigonal nano silver sheet whose average side length can be regulated in the range of 24-120nm.

The invention relates to a method of making a path planning for three-dimensional dispersed point set based on free curved surface, fitting the 3D discrete data points into a triangular Bernstein-Be'zier curved surface by the interpolation reconstruction of dispersed data points of the free curved surface and then using the Bernstein-Be'zier curved surface to make six-dimensional track planning for the obtained interpolation curved surface; for track planning in the arbitrary direction, able to obtain the track planning by transforming this coordinate direction to x-y coordinate direction; the Bernstein-Be'zier curved surface is a ternary triangular Bernstein-Be'zier curved surface. The invention utilizes the Bernstein-Be'zier curved surface to make the fitting and plan six-dimensional processing track on the interpolation curved surface for the curved surface of 3D dispersed point set data, thus implementing the path planning for 3D dispersed point set data of arbitrary free curved surface.

A method for rigorously reshaping a pair of overlapping digital images using a Digital Photogrammetric Workstation (DPW) is disclosed. The overlapping images are imported into the DPW as a pair of originally distorted images having an associated sensor model. The original images are triangulated to adjust sensor parameters. Orthophotos are created with a flat digital terrain matrix (DTM) to leave terrain displacements within themselves, and according to a sensor model and formula for exact projective computations. The orthophotos are aligned by rotation, and interior orientation coordinates of the equivalent vertical frame images are determined. The orthophotos are imported as a pair of overlapping equivalent vertical frame images according to the interior orientation coordinates. A digital terrain model is generated in the DPW using the overlapping equivalent vertical frame images. Another orthophoto is produced using the digital terrain model to remove the measured terrain displacements. In an alternative embodiment, the equivalent vertical frame images are aligned by using the classical pair-wise rectification method or by separately rotating each image without aligning the orthophotos by rotation during their creation. In each embodiment, the sensor model of the original distorted images is dissociated from the orthophotos for subsequently greater distribution and usage of the stereo imagery.

The invention relates to a method for detecting self collision of a flexible fabric based on a quad bounding box tree. The method is characterized in that: the quad bounding box tree is built for fabric geometric primitives; triangle facets which are impossible to intersect in a coarse detection stage and a precise intersection stage are filtered by a normal vector cone method, a triangle facet gravity center detecting method and a planar ipsilateral filtering method based on the quad bounding box tree respectively so as to greatly reduce the computation of intersection tests. The method comprises the following steps: (1) building the quad bounding box tree with a compact structure by using a space position relation of the fabric geometric primitives; (2) excluding triangle facet pairs impossible to intersect based on the quad bounding box tree by the normal vector cone method; (3) filtering the triangle facets of which the distance is larger than a preset threshold value according to the distance between the gravity centers of two triangle facets; and (4) filtering the unnecessary line planar intersection by the precise detection among basic geometrical elements and the planar ipsilateral filtering method.

The invention discloses a Delaunay triangulation network subdividing method based on space curved surface constraint. The method comprises the following steps of: rebuilding a space fractured layer curved surface by fractured layer data; initially rebuilding layer positions to acquire a space triangular curved surface; finding out a space triangle which crosses over the fracture surface in the area in which a reverse fracture layer exits and deleting the space triangle; filling a hole or a gap formed by deleting the triangle to ensure that a boundary of the space triangulation network is a convex shell or the edge generated by filling the edge of the area concave at random cannot cross over the fracture surface. The method has the active effects that a triangular part of the three-dimensional curved surface under the space curved surface constraint is proposed, so that the ground layer rebuilding problem under a complicated geologic structure condition is solved, and a technical support is provided for interpolation of layer positions, drawing of contour lines and the like.

The present invention relates to prism-nonlinear optical crystal couplers for frequency conversion, including M pieces of nonlinear optical crystal and one coupling prism stuck to the incident surface or / and exit surface of the crystal by optical stick or a matching liquid. The coupling prisms are the same triangle prisms of right triangle prism, equilateral triangle prism, or inequlateral triangle prism, or are different triangle prisms. It is hopeful to obtain frequency 6th harmonic output.

A backlight assembly for providing liquid crystal display enhanced brightness of light with a lower consumption of electricity includes a light guide plate having brightness enhancing recesses formed on a bottom surface and light collecting grooves formed on an upper surface. The brightness enhancing recesses efficiently reflect the light having different directions and the light collecting grooves collects the light reflected by the brightness enhancing recesses.

The invention relates to a high lighting effect pattern substrate and a manufacturing method thereof. Centrosymmetric patterns are etched on the substrate and extend to the periphery of the substrate. The centrosymmetric patterns are quadrates, regular hexagons, circles, equilateral rhombuses with 60 degrees of angles, regular hexagons formed by six same regular triangles, regular hexagons formed by six symmetrically distributed same regular triangles with circular centers and embedded circles, and regular hexagons formed by six symmetrically distributed same regular hexagons with circular centers and being separated from the circles. The centrosymmetric patterns extend to the periphery of the substrate as reference units so that the vertical distance between the side lengths of two adjacent quadrates, the vertical distance between the side lengths of two adjacent regular triangles, the vertical distance between the side lengths of two adjacent regular hexagons, the vertical distance between the side lengths of two adjacent equilateral rhombuses, the shortest distance between circumferences of two adjacent circles and the shortest distance between the circles and the adjacent regular hexagon are mutually equal.

A piezoelectric film element is provided, which is capable of improving piezoelectric properties, having on a substrate at least a lower electrode, a lead-free piezoelectric film, and an upper electrode, wherein at least the lower electrode out of the lower electrode and the upper electrode has a crystal structure of a cubic crystal system, a tetragonal crystal system, an orthorhombic crystal system, a hexagonal crystal system, a monoclinic crystal system, a triclinic crystal system, a trigonal crystal system, or has a composition in which one of these crystals exists or two or more of them coexist, and crystal axes of the crystal structure are preferentially oriented to a specific axis smaller than or equal to two axes of these crystals, and a ratio c / a′ is set in a range of 0.992 or more and 0.999 or less, which is the ratio of a crystal lattice spacing c in a direction of a normal line to the substrate surface, with respect to a crystal lattice spacing a′ whose inclination angle from the substrate surface is in a range of 10° or more and 30° or less.

A three-dimensional (3D) measuring system includes a triangulation scanner having a projector and a first triangulation camera, the projector including a first circular polarizer, the first triangulation camera including a second circular polarizer, the second circular polarizer having handedness opposite the first circular polarizer.

The invention provides a concentric circles mask comprising a lithography plate with concentric circle arrays, wherein each concentric circle sequentially has an inner ring, a middle ring and an outer ring, and parts corresponding to the inner ring and the outer ring of the concentric circle are lightproof. The invention further provides a graphical substrate manufactured by the concentric circles mask. The graphical substrate has a crown-type structure distributed in arrays, and a central top of the crown-type structure is a triangle conical shape. The invention also provides a manufacture method of the graphical substrate. By using the concentric circles mask, a manufacture flow of the graphical substrate with the crown-type structure can be simplified, the cost can be reduced, and meanwhile problems of crown morphology differences after etching caused by not accurately controlled lithography graphic overlay during batch production, and sheet repeatability due to deformation can be prevented.

The invention belongs to the technical field of a microporous metal-organic framework material and particularly relates to a microporous metal-organic framework material based on isophthalic acid derivatives as well as a preparation method and an application thereof. The chemical formula of the microporous metal-organic framework material provided by the invention has a chemical formula of Zn(pybdc), wherein pybdc<2-> is deprotonated 5-(1-pyrrolidyl)-1,3-phthalic acid and n represents an infinite link of the structural unit. The metal-organic framework material provided by the invention is crystallized in a trigonal system and the space group is R-3m; the metal Zn<2+> is located in the center of a tetrahedron and is tetrachordinate. The microporous metal-organic framework material provided by the invention has a one-dimensional porous channel structure along the direction of axis c and a methylene group of a pentary pyrrole ring stretches into the porous channel; the window of the porous channel is about 4 angstroms and the porosity is 18.6%. The structure of the material provided by the invention has the porous channel, so that the material can be used for safely storing gas or solvent molecules.

The invention discloses a crown appearance extract method based on shape analysis. The data treatment of the invention is characterized in that a laser scanner carries out single-sweep on a whole plant to obtain the single-sweep point cloud data of the plant; firstly, a root node is found from the point cloud data, and then the point cloud data is divided into branch point cloud and leaf point cloud by a shortest distance method; a corresponding skeleton is extracted from the branch point cloud, and the skeleton is divided into a plurality of parts according to the branching characteristics of a tree, and classified branch skeletons are utilized to classify the leaf point cloud; Delaunay triangulation is carried out on each classified leaf point cloud to obtain a tetrahedron and a triangular patch; the triangular patch is divided into three classes, such as exterior, interior, boundary and the like, wherein the triangular patch located on the boundary forms a sealed body which is used for representing the shape of the classified leaf point cloud; and the shape integration of each class of the leaf point cloud represents the shape of the whole crown.