Ray/Ribbon Intersections-Reference-Cited by-同舟云学术

Ray/Ribbon Intersections

Published:2022-07-25 Issue:3 Volume:5 Page:1-22
ISSN:2577-6193
Container-title:Proceedings of the ACM on Computer Graphics and Interactive Techniques
language:en
Short-container-title:Proc. ACM Comput. Graph. Interact. Tech.

Author:

Reshetov Alexander¹

Affiliation:

1. NVIDIA, Santa Clara, USA

Abstract

We present a new ray tracing primitive---a curved ribbon, which is embedded inside a ruled surface. We describe two such surfaces. Ribbons inside doubly ruled bilinear patches can be intersected by solving a quadratic equation. We also consider a singly ruled surface with a directrix defined by a quadratic Bézier curve and a generator---by two linearly interpolated bitangent vectors. Intersecting such a surface requires solving a cubic equation, but it provides more fine-tuned control of the ribbon shape. These two primitives are smooth, composable, and allow fast non-iterative intersections. These are the first primitives that possess all such properties simultaneously.

Publisher

Association for Computing Machinery (ACM)

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications

Link

https://dl.acm.org/doi/pdf/10.1145/3543862

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