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Boundary-Representation Foundations
1969 - 1975
During 1969-1975, the Computer-Aided Design field stabilized around boundary-based and parametric surface representations, enabling interpolation, smooth surface fitting, and mixed curve-surface design across models. Advances in line-drawing processing and curved-surface display improved perception and visualization of three-dimensional geometry, while optimization-driven workflows and rigorous verification established robust CAD pipelines. Early software engineering for Computer-Aided Design tools emphasized robust graphics, verification, and digital design logic, guiding subsequent development practices.
• Parametric and algebraic surface representations—Bezier/B-spline curves, Coons-type surfaces, and quadric-boundaries—became foundational for CAD, enabling interpolation, smooth surface fitting, and mixed curve-surface design across multiple models [1], [2], [4], [18], [19].
• Line-drawing processing, sequential illumination, and curved-surface display addressed how humans perceive 3D forms from projections, supporting CAD visualization and interpretation of geometry [3], [5], [7].
• Optimization-driven CAD workflows emphasize systematic improvement, from design-optimization methods and second-order designs to optimum system designs and rigorous logical verification, enabling efficient and reliable CAD pipelines [10], [12], [16], [17].
• Shape analysis and geometry processing examine shape optimization, joint geometry, and orientation for manufacturability and physical realization, incorporating fractal-like analyses and differential-geometry concepts [6], [14], [15], [18].
• Software engineering of CAD tools emphasized graphics-package design, system verification, and digital design-logic simulation to improve robustness and usability of CAD workflows [8], [10], [12], [20].
Parametric Geometric CAD
1976 - 1988
Object-Oriented Geometric CAD
1989 - 1995
Topology-Aware Parametric CAD
1996 - 2002
CAD-Driven Prototyping Era
2003 - 2009
CAD-Integrated Additive Manufacturing
2010 - 2016
Learning-Integrated Generative CAD
2017 - 2023