A projective invariant generalization of the de Casteljau algorithm
A projective invariant generalization of the de Casteljau algorithm is described by using the cross ratio and an auxiliary line. We describe the implicit form of the section conics obtained by the algorithm proposed in this paper. Finally, we show how ...
A robust efficient tracing scheme for triangulating trimmed parametric surfaces
An efficient, robust parametric trimmed surface triangulation method is presented. Efficiency is gained during trimmed curve tracing by minimising the number of cells processed. Key feature is the efficient tracing algorithm, and knowledge of ...
Curve interpolation based on the canonical arc length parametrization
We use the canonical equations (CE) of differential geometry, a local Taylor series representation of any smooth curve with parameter the arc length, as a unifying framework for the development of new CNC algorithms, capable of interpolating 2D and 3D ...
Uniform offsetting of polygonal model based on Layered Depth-Normal Images
Uniform offsetting is an important geometric operation for computer-aided design and manufacturing (CAD/CAM) applications such as rapid prototyping, NC machining, coordinate measuring machines, robot collision avoidance, and Hausdorff error calculation. ...
Generating shapes by analogies: An application to hearing aid design
3D shape modeling is a crucial component of rapid prototyping systems that customize shapes of implants and prosthetic devices to a patient's anatomy. In this paper, we present a solution to the problem of customized 3D shape modeling using a ...
A surface blending approach for displacement features on freeform surfaces
Embedding a number of displacement features into a base surface is common in industrial product design and modeling, where displaced surface regions are blended with the unmodified surface region. The cubic Hermite interpolant is usually adopted for ...
Simulation of the surface profile of the groove bottom enveloped by milling cutters in single screw compressors
In machining of a single screw compressor, the milling technique of screw rotor grooves with cylindrical milling cutters has far higher machining efficiency than turning. But, the screw groove bottom surface produced by the flat end of milling cutters ...
Morphology-based macro-scale finite-element timber models
This paper presents a non-invasive technique that can extract an accurate geometrical description of growth layer surfaces in wood. The method has been validated for sawn spruce elements (Picea Abies Karst.). The aim is to implement a procedure to model ...
A practical generative design method
A generative CAD based design exploration method is proposed. It is suitable for complex multi-criteria design problems where important performance criteria are uncomputable. The method is based on building a genotype of the design within a history ...
Mesh repair with user-friendly topology control
Limitations of current 3D acquisition technology often lead to polygonal meshes exhibiting a number of geometrical and topological defects which prevent them from widespread use. In this paper we present a new method for model repair which takes as ...
