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"Curve representation" as a book category covers the theory, methods, and practical techniques for describing, encoding, manipulating, and visualizing one‑dimensional shapes in space. Titles in this category range from mathematical foundations (analytic and differential geometry, curvature and torsion, parametric vs. implicit forms) to computational approaches (polynomials, splines, Bézier and B‑spline/NURBS curves, Fourier and level‑set methods, implicit/signed‑distance representations, polyline and point‑cloud approximations) and numerical issues (interpolation, approximation, smoothing, stability, compression). Applications and implementations—CAD/CAM, computer graphics and animation, GIS, robotics path planning, medical imaging, and scientific visualization—are commonly treated, as are software and data‑format considerations. These books target mathematicians, computer scientists, engineers, and designers who need rigorous theory alongside practical algorithms for modeling, analyzing, and rendering curves.

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