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With the growth of machine learning algorithms with geometry primitives, a high-efficiency library with differentiable geometric operators are desired. We present an optimized Differentiable Geometry Algorithm Library (DGAL) loaded with…

Computational Geometry · Computer Science 2020-11-24 Yuanxin Zhong

Python bindings are a critical bridge between high-performance C++ libraries and the flexibility of Python, enabling rapid prototyping, reproducible experiments, and integration with simulation and learning frameworks in robotics research.…

Robotics · Computer Science 2026-03-06 Weihang Guo , Theodoros Tyrovouzis , Lydia E. Kavraki

The reference implementation of Cartesian Genetic Programming (CGP) was written in the C programming language. C inherently follows a procedural programming paradigm, which entails challenges in providing a reusable and scalable…

Neural and Evolutionary Computing · Computer Science 2024-06-14 Roman Kalkreuth , Thomas Baeck

We analyse the axioms of Euclidean geometry according to standard object-oriented software development methodology. We find a perfect match: the main undefined concepts of the axioms translate to object classes. The result is a suite of C++…

Computational Geometry · Computer Science 2009-09-29 M. H. van Emden , B. Moa

We present a generic C++ design to perform efficient and exact geometric computations using lazy evaluations. Exact geometric computations are critical for the robustness of geometric algorithms. Their efficiency is also critical for most…

Computational Geometry · Computer Science 2007-05-23 Sylvain Pion , Andreas Fabri

OpenGM is a C++ template library for defining discrete graphical models and performing inference on these models, using a wide range of state-of-the-art algorithms. No restrictions are imposed on the factor graph to allow for higher-order…

Artificial Intelligence · Computer Science 2012-06-04 Bjoern Andres , Thorsten Beier , Joerg H. Kappes

We present GOOL, a Generic Object-Oriented Language. It demonstrates that a language, with the right abstractions, can capture the essence of object-oriented programs. We show how GOOL programs can be used to generate human-readable,…

Programming Languages · Computer Science 2019-11-28 Jacques Carette , Brooks MacLachlan , W. Spencer Smith

Generic programming is an effective methodology for developing reusable software libraries. Many programming languages provide generics and have features for describing interfaces, but none completely support the idioms used in generic…

Programming Languages · Computer Science 2007-08-17 Jeremy G. Siek , Andrew Lumsdaine

Applied research in graph algorithms and combinatorial structures needs comprehensive and versatile software libraries. However, the design and the implementation of flexible libraries are challenging activities. Among the other problems…

Software Engineering · Computer Science 2007-05-23 Maurizio Pizzonia , Giuseppe Di Battista

Geometry is a fundamental part of robotics and there have been various frameworks of representation over the years. Recently, geometric algebra has gained attention for its property of unifying many of those previous ideas into one algebra.…

Robotics · Computer Science 2023-10-31 Tobias Löw , Philip Abbet , Sylvain Calinon

Although many active scientific codes use modern Fortran, most contemporary scientific software "libraries" are implemented in C and C++. Providing their numerical, algorithmic, or data management features to Fortran codes requires writing…

Software Engineering · Computer Science 2019-07-04 Seth R. Johnson , Andrey Prokopenko , Katherine J. Evans

The paper introduces a novel representation for Generalized Planning (GP) problems, and their solutions, as C++ programs. Our C++ representation allows to formally proving the termination of generalized plans, and to specifying their…

Artificial Intelligence · Computer Science 2022-06-30 Javier Segovia-Aguas , Yolanda E-Martín , Sergio Jiménez

We present a new certified and complete algorithm to compute arrangements of real planar algebraic curves. Our algorithm provides a geometric-topological analysis of the decomposition of the plane induced by a finite number of algebraic…

Symbolic Computation · Computer Science 2011-03-25 Eric Berberich , Pavel Emeliyanenko , Alexander Kobel , Michael Sagraloff

3D Computer-Aided Design (CAD) users need to overcome several obstacles to benefit from the flexibility of programmatic interface tools. Besides the barriers of any programming language, users face challenges inherent to 3D spatial…

Human-Computer Interaction · Computer Science 2024-08-06 J. Felipe Gonzalez , Danny Kieken , Thomas Pietrzak , Audrey Girouard , Géry Casiez

In this era of diverse and heterogeneous computer architectures, the programmability issues, such as productivity and portable efficiency, are crucial to software development and algorithm design. One way to approach the problem is to step…

Mathematical Software · Computer Science 2012-07-10 Mauro Bianco , Ugo Varetto

A tutorial of the Mathematica package CGAlgebra, for conformal geometric algebra calculations is presented. Using rule-based programming, the 5-dimensional conformal geometric algebra is implemented and defined functions simplify the…

Mathematical Software · Computer Science 2022-07-01 E. Alejandra Ortiz-Duran , Jose L. Aragon

Designing software systems for Geometric Computing applications can be a challenging task. Software engineers typically use software abstractions to hide and manage the high complexity of such systems. Without the presence of a unifying…

Mathematical Software · Computer Science 2017-05-19 Ahmad Hosny Eid

Determining visibility in planar polygons and arrangements is an important subroutine for many algorithms in computational geometry. In this paper, we report on new implementations, and corresponding experimental evaluations, for two…

Computational Geometry · Computer Science 2014-03-18 Francisc Bungiu , Michael Hemmer , John Hershberger , Kan Huang , Alexander Kröller

GEANT4 is a particle physics simulation tool used to develop and optimize radiation detectors. While C++ based examples exist, Python's growing popularity necessitates the development of a more accessible Python bindings interface. This…

High Energy Physics - Experiment · Physics 2024-12-10 Patrick Stowell , Robert Foster , Almahdi Elhamri

We present programming techniques to illustrate the facilities and principles of C++ generic programming using concepts. Concepts are C++'s way to express constraints on generic code. As an initial example, we provide a simple type system…

Programming Languages · Computer Science 2025-10-13 Bjarne Stroustrup
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