A Fast and Memory-Efficient Direct Rendering Method for Polynomial-Based Implicit Surfaces

作     者：Jiayu Ren Susumu Nakata 

作者机构：Graduate School of Information Science and EngineeringRitsumeikan UniversityIbarakiOsaka567-8570Japan2 College School of Information Science and EngineeringRitsumeikan UniversityIbarakiOsaka567-8570Japan 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2024年第141卷第11期

页      面：1033-1046页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by JSPS KAKENHI Grant Number 21K11928 

主　　题：Implicit surfaces direct rendering ray marching 

摘      要：Three-dimensional surfaces are typically modeled as implicit ***,direct rendering of implicit surfaces is not simple,especially when such surfaces contain finely detailed *** approach is ray-casting,where the field of the implicit surface is assumed to be piecewise polynomials defined on the grid of a rectangular domain.A critical issue for direct rendering based on ray-casting is the computational cost of finding intersections between surfaces and *** particular,ray-casting requires many function evaluations along each ray,severely slowing the rendering *** this paper,a method is proposed to achieve direct rendering of polynomial-based implicit surfaces in real-time by strategically narrowing the search range and designing the shader to exploit the structure of piecewise *** experiments,the proposed method achieved a high framerate performance for different test cases,with a speed-up factor ranging from 1.1 to *** addition,the proposed method demonstrated better efficiency with high cell *** terms of memory consumption,the proposed method saved between 90.94%and 99.64%in different test ***,the proposed method became more memory-efficient as the cell resolution increased.