The research describes the extension of the Axiomatic Design model to incorporate the aesthetic design as the customer requirement. It also proposes a computational model to support the formalization of aesthetic design in industrial products. The methodology takes into account the cognition process during the design generation and captures this behavior in a group theoretic structure. This approach leads to application of Axiomatic Design paradigm to the domain of the aesthetics. The proposed framework is implemented and validated by taking a design case of the consumer products.

Due to their 3D nature, many CAD B-Spline surfaces are difficult to design and edit with traditional 2D interfaces, e.g., a 2D mouse. Based on an energy minimization method or variational B-Spline technique, the paper presents the technique of using a haptic device to design B-Spline surfaces. Under complex constraints and without any pre-calculation, the variational B-Spline technique used in the system can solve virtually all practical B-Spline surfaces in a matter of milliseconds. Such results are much more efficient and powerful than previous work in the variational B-Spline field. By using a haptic interface, the system allows a user in a natural 3D environment to directly manipulate/design constraints, e.g., points and curves, and in real time, the system generates energy-minimization B-Spline surfaces in response to haptic operations. The discussed technique delivers all the performance and capacity required for using haptics to design high-quality B-Spline surfaces, and haptic-based surface operations provide a powerful method for designing B-Spline surfaces.

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