A fast, point proxy-based haptic rendering technique is proposed with proxy update loop running 100 times faster than the required haptic update frequency of 1 kHz. It also includes a graphical user interface with varied options such as choosing the desired orientation of 3-D objects and selecting the desired level of spatial resolution adaptively at runtime. Moreover, the proposed framework includes an appropriate sound synthesis to bring out the acoustic properties of the object. Further, surface effects such as texture and friction are incorporated in order to provide a realistic haptic perception to the users. Cultural heritage objects could potentially be very large and one may be required to render the object at various scales of details. The prime focus is to haptically render point cloud data representing virtual 3-D models of cultural significance and also to handle their affine transformations. In this work, we develop a multi-modal rendering framework comprising of hapto-visual and auditory data. This model correctly predicts the resonant frequencies of the bell-like sound from the musical columns of the pillar. The measured frequencies of pillar have also been found to be in close agreement with flexural frequencies derived from Euler-Bernoulli beam model and energy separation algorithm (ESA) based on Teager's energy operator. It was observed that there is close correlation between spectral (i.e., resonance) characteristics of bell-like sound from pillar and actual bell sound. In addition, an analysis is presented to model dynamics of such columns in a pillar to find the flexural frequencies along with its eigenmodes. The sound recorded from a pillar is found to produce bell-like sound. The pillars in this temple have musical columns which produce sounds of different musical instruments when struck with a thumb (i.e., a kind of impulse-like excitation). In this paper, we present the spectral analysis of the sound recorded from a musical pillar at Vitthala temple, Hampi - a world heritage site.
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