Relationship between "Refine" and "Style":
The word "refine" means to improve or perfect something by making small changes. It implies a process of making something better by removing impurities or imperfections. The word "style" refers to a particular manner or way of doing something, often associated with an individual's personal expression or taste. It is a characteristic or distinctive feature that sets something apart.

Explanation:
In the given question, we are asked to find a pair of words that share a similar relationship as "refine" and "style". To determine this, we need to analyze the relationship between "refine" and "style" and then find another pair of words that have a similar relationship.

Analysis:
1. Refine : Style
- The word "refine" means to improve or perfect something by making small changes.
- The word "style" refers to a particular manner or way of doing something.

2. Options:
a) Retouch : Photograph
- The word "retouch" means to make small changes or corrections to improve the appearance or quality of something.
- The word "photograph" refers to an image captured by a camera.

b) Paint : Wall
- The word "paint" means to apply a colored substance to a surface to create a decorative or protective coating.
- The word "wall" refers to a vertical structure that encloses or divides an area.

c) Compose : Song
- The word "compose" means to create or write something, especially a piece of music, poetry, or literature.
- The word "song" refers to a musical composition with lyrics that is meant to be sung.

d) Author : Book
- The word "author" refers to a person who writes or creates a literary work.
- The word "book" refers to a written or printed work that is bound together and contains text or images.

Conclusion:
Among the given options, the pair "Retouch : Photograph" shares a similar relationship as "Refine : Style". Both pairs involve making small changes or improvements to something. In the case of "Refine : Style", refining involves improving something by removing impurities or imperfections, while in the case of "Retouch : Photograph", retouching involves making small changes or corrections to improve the appearance or quality of a photograph. Therefore, the correct answer is option 'A' - Retouch : Photograph.