  The ability to synthesize style and content of different images to form a
visually coherent image holds great promise in various applications such as
stylistic painting, design prototyping, image editing, and augmented reality.
However, the majority of works in image style transfer have focused on
transferring the style of an image to the entirety of another image, and only a
very small number of works have experimented on methods to transfer style to an
instance of another image. Researchers have proposed methods to circumvent the
difficulty of transferring style to an instance in an arbitrary shape. In this
paper, we propose a topologically inspired algorithm called Forward Stretching
to tackle this problem by transforming an instance into a tensor
representation, which allows us to transfer style to this instance itself
directly. Forward Stretching maps pixels to specific positions and interpolate
values between pixels to transform an instance to a tensor. This algorithm
allows us to introduce a method to transfer arbitrary style to an instance in
an arbitrary shape. We showcase the results of our method in this paper.
