Real-time marble vein glaze pattern generating method based on mathematical function

Abstract

The invention discloses a marble vein glaze pattern real-time generating method, which comprises the following steps of: appointing the size of a vein pattern and the color of a background pattern layer; building a base pattern by means of dropping, spraying, overturning and the like; building a marble vein glaze pattern by means of user operations such as comb, stylus, wave, rotation and the like; and multiplying the density field of each layer by the color of the corresponding pattern layer and adding to obtain a final display color. The method overcomes the defects which are commonly existed in a computer simulation system of the existing marble vein glaze pattern technology such as slower speed, fuzzy generating pattern, unfriendly user interface, over-abstract physical equation parameter and the like, adopts the real-time marble vein glaze pattern generating method based on mathematical function, and guarantees that the generated marble vein glaze pattern has the characteristics of the clear boundary and the elegant pattern of the real marble vein glaze pattern by adopting the density field expressing method by means of reverse mapping, supersampling and multi-pattern layer and the iterative density field updating arithmetic.

Description

technical field [0001] The invention relates to the fields of computer non-realistic rendering and image generation, in particular to a real-time method for generating marbled glaze patterns based on mathematical functions. Background technique [0002] Marbling is a traditional art of creating colorful, fluid-like patterns on paper or fabric. As a handicraft technology with a long history, the marble pattern glaze technology was originally applied for decorative purposes, and at the same time, it can be used as the background pattern of official documents to prevent deletion and forgery, and later developed into an ancient anti-piracy technology. That is to print the marble glaze pattern on the side of the book, since tearing off any page of the book will make the pattern look incoherent, thus effectively preventing the man-made destruction of the book. The production process of the marble glaze process mainly has the following three steps: (1) Prepare a container, and pou...

AI Technical Summary

Problems solved by technology

However, since these methods are implemented based on the CPU, the running speed is slow and cannot meet the real-time user interaction requirements.

Later, Xu Jiayi and others proposed to solve the Navie-Stokes physical fluid equation on the GPU. Although the speed can basically meet the real-time requirements, it still cannot fundamentally solve the problem of blurred edges of the generated marbled glaze pattern. See XU, J ., MAO, X., AND JIN, X. 2008. Nondissipative marbling. IEEE Computer Graphics and Applications, 28, 2, 35-43

In addition to the method of fluid simulation, the commercial software Corel Painter provides image editing methods to generate marbled glaze patterns, but the speed of this software is slow, and the types of marbled glaze patterns provided are less

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