Computer-Aided Geometric Design and Matrices
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: 28 February 2025 | Viewed by 3444
Special Issue Editors
Interests: computer aided geometric design; approximation theory; numerical analysis; positive matrices; total positivity; high relative accuracy
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Symmetry is a characteristic feature of geometric forms, graphics, systems, equations, matrices, and other material objects or abstract entities which is related to their invariance under certain transformations, movements, or exchanges.
Matrices are used in most areas of mathematics and in most scientific fields, either directly or through their use in geometry and numerical analysis. Many computational problems can be solved by reducing them to matrix calculus, and this often involves calculating with large-dimensional matrices. The most obvious geometric interpretation of a symmetric matrix is derived from its eigenvectors, which are orthogonal to each other, allowing for the construction of hypercubes.
Computer-aided geometric design (CAGD) is a discipline dealing with the mathematical description of shape and the computational aspects of geometric objects, of parametric curves and surfaces through control polygons and control nets.
CAGD is a field of mathematical nature, originated in naval engineering and the automotive and aircraft industries. Later, many relations arose between CAGD and other branches of mathematics.
In fact, CAGD uses tools from several mathematical fields such as differential geometry, linear algebra, computer science, numerical analysis, approximation theory and data structures.
Nowadays, the combination of tools from matrices and CAGD is applied in computer science, many fields of engineering, industry, as well as medicine and life sciences. The main purpose of this Special Issue is to gather recent results on techniques arising from the linear algebra and computational mathematics that can be adapted to deal with problems in CAGD.
We invite you to present your recent contributions to this Special Issue.
Prof. Dr. Esmeralda Mainar
Dr. Antonio Falco
Guest Editors
Manuscript Submission Information
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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- matrices
- total positivity
- high relative accuracy
- subdivision
- splines and NURBS
- shape analysis
- isogeometric analysis
- interpolation, approximation and smoothing
- wavelets and multi-resolution methods
- computer graphics
- virtual design
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