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Incremental Modelling of Ambiguous Geometric Ideas ( I-MAGI )

Incremental Modelling of Ambiguous Geometric Ideas ( I-MAGI ). Sungwoo, Lim CAD centre. Supervisor: Dr. Alex H B Duffy Dr. B S Lee. Contents. Sketching in the design process. The hierarchical area of the research problem. Definition of vague shape model ( VSM ).

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Incremental Modelling of Ambiguous Geometric Ideas ( I-MAGI )

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  1. Incremental Modelling of Ambiguous Geometric Ideas (I-MAGI) Sungwoo, Lim CAD centre Supervisor: Dr. Alex H B Duffy Dr. B S Lee

  2. Contents • Sketching in the design process. • The hierarchical area of the research problem. • Definition of vague shape model (VSM). • Usage of vague shape modelling (VSMing). • The composition of VSM elements. • The mechanism of VSMer. • The formalisation of VrLMer. • Research goals. • Future directions.

  3. Clarification of the design Conceptual design Embodiment design Detail design Sketching Sketching in the design process • The use of sketching. - fast expression of their early design ideas. - handle a vagueness of ideas for more flexible creativity. • Sketching in the design process. (Pahl and Beitz)

  4. Classification of task Conceptual design Embodiment design Detail design Sketching Geometric modelling Spatial arrangement Design environment support GUI builder by sketching Interface Programming without Coding Basic 3D Direction Analysis 2D Sketching Line tidy Spatial arrangement & analysis 3D Sketching Geometric model reconstruction Retrieval of design elements Location Constraints Retrieval by Partial Elements Vague spatial relationships Sketching recognition Hidden line construction Uncertain Region Retrieval by Image Front-end interface system Geometric model structure analysis Universal Modelling Interface Initial vague shape modeller Vague shape modeller (VSMer) Line Analyser Symbol/diagram recognition Vertex Analyser Edge Analyser 2D/3D shape recognition Surface Analyser Inference engine for vague shape classification Vague shape library (VSL) Vague relative location modeller (VrLMer) Distance Combination Direction The hierarchical address of the research problem Vague shape modelling (VSMing)

  5. Definition of Vague Shape Model (VSM) • Definition of Vagueness: Uncertainty about meaning and can be represented by a probability distribution over possible meaning. [Cheeseman, 1986] • Definition of VSM: An unrefined 3D geometric model which involves non-precise numerical and spatial value information, such as shape, size and relative spatial relationship etc.

  6. Usage of Vague Shape Modelling (VSMing) • Architectural design. - early design idea of building shape. - early design idea of spatial layout. • Mechanical engineering design. - early design idea of mechanical products. - early design idea of spatial relationship. • Car / Ship design. - early design idea of car body or ship hull shapes.

  7. Main research problem based on exiting literatures Formalisation of research problem More detailed research problem Vague shape modelling (VSMing) • Analyse & model the • vague shape model by • probability theory • Can be adopted to Rapid • prototyping during • conceptual design stage Initial vague shape modeller Vague shape modeller (VSMer) Line Analyser Vertex Analyser Edge Analyser Surface Analyser • Model & analyse the spatial • relationships between VSMs as • human cognition by linguistic • values in fuzzy logic or uncertainty. • Can be adopted to robotics’ spatial • cognition Inference engine for vague shape classification Vague shape library (VSL) Vague relative location modeller (VrLMer) Distance Combination Direction The Composition of VSM elements • Initial VSMer: • 3D sketch recognition technique • Inference engine: • shape inference by enhanced • probability theory within a VSL • VSL: primitive shape library • Distance: by linguistic values • Direction: by basic six direction • Combination: by Dis  Dir

  8. Z Width d c Depth a b Oc Height X g h e f Y Quantity: (D x W x H) Z W Input Z D Rtx Rbx W H Rby Rty Oc X D H Y Oc Inference Engine Initial VSMer X VSL Quantity: (D x W x H) Y Quantity: (D x W x H) Output The Mechanism of VSMer • 3D sketch recognition. • Analyse the approximation • of vagueness of rough sketch. 50% 30% 75% 15% 1. Analyse a vague shape. 2. Calculate a probability based on VSL. 3. Analyse the VrL between VSMs. 4. Return the result to initial VSMer. • Modelling / analysis of VSM • Modelling / analysis of VrL

  9. max_Orth-dist Far-from Front W Adjacent-from Behind H VCr L Distance Direction Outer-junction-from Above As the result of the combination, “Object VCp is far from front of object VCr” can be described as Orth-dist (Orthogonal distance) VCp Inner-junction-from Below Right Left max Z Z Z X X X Y Y Y far-from / adjance-from outer-junction Inner-junction ave Gr Gp min min_Orth-dist ave_Orth-dist The Formalisation of VrLMer Combination

  10. Research Goals • Development of modelling language which is suitable for VSM. • Development of representation method which can support to VSMing language.

  11. Future direction • Development with Rapid Prototyping. • Join with virtual design environment.

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