anglebased

Anglebased is an adjective used in mathematics, computer graphics, geometry processing, and related fields to describe approaches, criteria, or algorithms that rely primarily on angular information rather than purely on distances or coordinates. The central idea is to base decisions on the orientation and angular relationships between geometric features, such as edges, faces, or gradient directions.

In geometry processing and mesh generation, anglebased methods often aim to improve quality by controlling triangle angles, reducing skinny triangles, and guiding surface parameterizations. Angle constraints or targets may specify desirable ranges for vertex angles, or rely on angular sums around vertices to enforce smoothness and fidelity to the underlying surface. The terminology can encompass remeshing, flattening, and parameterization techniques that use angles as the principal quality criterion.

In computer vision and image analysis, anglebased approaches may focus on angular relationships between edges, gradient directions, or feature orientations to detect corners, shapes, or specific structural patterns. Such methods can be robust to scale changes and help discriminate features that are defined more by orientation than by magnitude.

Variations and related concepts include anglebased remeshing, angle-based parameterization, and angle-aware feature detection. While the term anglebased is used across disciplines, it is not a single standard methodology; rather, it describes a family of techniques that prioritize angular information to achieve stability, accuracy, or interpretability in geometric or visual tasks. See also geometry processing, remeshing, parameterization, and feature detection.