In this paper, we propose a new algorithm to mesh implicit surfaces which produces meshes both with a good triangle aspect ratio as well as a good approximation quality. The number of vertices of the output mesh is defined by the end-user. For this goal, we perform a two-stage processing : an initialization step followed by an iterative optimization step. The initialization step consists in cap...

This paper illustrates the use of the envelope theorem for the geometric design of a cycloidal speed reducer. Specifically, it proposes two designs for a mathematical model with tooth differences: a pin wheel epitrochoid meshing which is a cycloidal wheel (internal rotor) profile equidistant to an epitrochoid (or extended epicycloid) curve and a cycloida! wheel is generated by a pin wheel (exte...

Abstract. The cooper tool is a new approach to automation of hexahedral meshing (or a wedge/ hexahedral element mix if desired) for a general subset of geometries. The tool recognizes applicable geometries and decomposes such into logically single axis swept subvolumes (barrels) with barrel caps bounding the decomposed pieces. It then enforces strict compatibility constraints by imprinting, int...

Developments in the field of parametrization-based quad mesh generation on surfaces have been impactful over past decade. In this context, an important advance has replacement error-prone rounding integer-grid maps, by robust quantization methods. parallel, hex for volumes advanced. volumetric however, state-of-the-art still relies fragile rounding, not rarely producing defective meshes, especi...